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Finding the Third Proportional to 351,355 and 781,307

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Solution

The third proportional to 351,355 and 781,307 is: 1,737,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,355 : 781,307 = 781,307 : x
  2. Step 2: Convert to fraction form
    351,355/781,307 = 781,307/x
  3. Step 3: Cross multiply
    351,355x = 781,307 × 781,307
  4. Step 4: Simplify right side
    351,355x = 610,440,628,249
  5. Step 5: Solve for x
    x = 610,440,628,249/351,355
  6. Step 6: Final answer
    x = 1,737,389.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.